【作者】 韩明君； 王钢； 邱平； 王新志；

【Author】 Han Ming-jun~1,Wang Gang~2,Qiu Ping~1,Wang Xin-zhi~1 (1,School of Sciences,2,Design Art Academy,Lanzhou Univercity of Technology,Lanzhou 730050,P.R.China)

【机构】 兰州理工大学理学院； 兰州理工大学土木工程学院；

【摘要】 圆底扁球壳周边在固定夹紧条件下,由薄壳理论非线动力学基本方程,给出受迫振动的振型,由协调方程求得薄膜张力,由平衡方程的变分方程求出外激振力的力幅与大振幅的特征关系式。由特征曲线图可以看出随拱高增大,在相等的外激振力情况下,大振幅相应减小。这种特性是扁球壳随拱高增大结构刚度也增大而引起的,完全符合物理现象。更多还原

【Abstract】 Forced vibration mode of shallow spherical reticulated shell is established based on nonlinear dynamic equation of the thin shells theory,thin film tension is solved from the compatible equations,the characteristic formula of amplitude of the external excitation and the large amplitude is solved from the variation equation of the balance equation under the boundary conditions of fixed edges.It is found that the large amplitude decrease with the height of arch increasing loaded with equal external excitation from the characteristic curve. This character is caused by the increase of the stiffness of the structure with the increase of the height of arch for shallow spherical shells,and the fact satisfying the physical phenomenon very well.更多还原